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Finding the Fourth Proportional to 673.32, 929.34 and 466.68

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Solution

The fourth proportional to 673.32, 929.34 and 466.68 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.32 : 929.34 = 466.68 : x
  2. Step 2: Convert to fraction form
    673.32/929.34 = 466.68/x
  3. Step 3: Cross multiply
    673.32x = 929.34 × 466.68
  4. Step 4: Simplify right side
    673.32x = 433,704.39
  5. Step 5: Solve for x
    x = 433,704.39/673.32
  6. Step 6: Final answer
    x = 644.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.